Examples

• In this illustration, line d is the bisector of angle A :

If [latex]m< 1=m< 2[/latex], then line d is the bisector of angle A. If d is the bisector of angle A, then [latex]m< 1=m< 2[/latex]

• In the triangle ABC below, the three bisectors [latex]\overleftrightarrow{AM}[/latex], [latex]\overleftrightarrow{BN}[/latex] and [latex]\overleftrightarrow{CP}[/latex] converge at the same point, which is equidistant from each side of the triangle: